论文标题

椭圆算子的梯度梯度的边界,无界扩散,漂移和潜在项

Bounds for the gradient of the transition kernel for elliptic operators with unbounded diffusion, drift and potential term

论文作者

Kunze, Markus, Porfido, Marianna, Rhandi, Abdelaziz

论文摘要

我们证明了与$ \ mathbb {r}^d $中的二阶差分运算符相关的过渡密度梯度的全局sobolev规则性和上限,并具有无界扩散,漂移和潜在项。

We prove global Sobolev regularity and pointwise upper bounds for the gradient of transition densities associated with second order differential operators in $\mathbb{R}^d$ with unbounded diffusion, drift and potential terms.

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